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arXiv · hep-th/9402027

The Rank four Heterotic Modular Invariant Partition Functions

T. Gannon·Q. Ho-Kim
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Abstract

In this paper, we develop several general techniques to investigate modular invariants of conformal field theories whose algebras of the holomorphic and anti-holomorphic sectors are different. As an application, we find all such ``heterotic'' WZNW physical invariants of (horizontal) rank four: there are exactly seven of these, two of which seem to be new. Previously, only those of rank $\le 3$ have been completely classified. We also find all physical modular invariants for $su(2)_{k_1}\times su(2)_{k_2}$, for $22>k_1>k_2$, and $k_1=28$, $k_2<22$, completing the classification of ref.{} \SUSU.

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T. Gannon, Q. Ho-Kim. 1994-02-04. The Rank four Heterotic Modular Invariant Partition Functions. https://doi.org/10.1016/0550-3213(94)90183-x

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